New posts in orthogonal-polynomials

Is the sum of the first N Laguerre polynomials (with alternating signs) always positive?

orthogonal-polynomials laguerre-polynomials

Use of a substitution to prove that $e^{2xt-t^2}$ is the exponential generating function of the Hermite polynomials

derivatives orthogonal-polynomials hermite-polynomials

Showing orthogonality of Legendre polynomials using Rodrigues' formula

integration special-functions orthogonal-polynomials legendre-polynomials

Legendre Polynomial Orthogonality Integral

integration orthogonality orthogonal-polynomials legendre-polynomials

How does one prove Rodrigues' formula for Legendre Polynomials?

orthogonal-polynomials

Chebyshev polynomials semigroup property $T_n \circ T_m = T_{nm}$

real-analysis abstract-algebra semigroups orthogonal-polynomials chebyshev-polynomials

Will this sequence of polynomials converge to a Hermite polynomial pointwise?

real-analysis polynomials orthogonal-polynomials

Integral of Hermite polynomial multiplied by $\exp(-x^2/2)$

integration special-functions definite-integrals orthogonal-polynomials

Equivalent definitions of Hermite polynomials

calculus orthogonal-polynomials

Is there a representation of an inner product where monomials are orthogonal?

orthogonal-polynomials

Legendre polynomials, Laguerre polynomials: Basic concept

ordinary-differential-equations orthogonal-polynomials

Proving that all the real roots of Hermite polynomials are in $(-\sqrt{4n+1}, \sqrt{4n+1})$

calculus functional-analysis polynomials roots orthogonal-polynomials

Proving operator is self-adjoint w.r.t. given inner product

adjoint-operators orthogonal-polynomials sesquilinear-forms

Legendre Polynomials Triple Product

integration orthogonal-polynomials

Intuition of orthogonal polynomials?

polynomials orthogonal-polynomials legendre-polynomials regularization

Show that the sum of Lagrange Polynomials $\sum_{i=0}^{n} L_{i}(t)=1 \quad \forall t \in R$ [duplicate]

numerical-methods interpolation orthogonal-polynomials lagrange-interpolation

Isomorphisms of inner-product spaces

linear-algebra hilbert-spaces inner-products orthogonal-polynomials orthonormal

Orthogonal Polynomials

real-analysis analysis polynomials orthogonal-polynomials

Connection between Hermite & Legendre polynomials

special-functions orthogonal-polynomials

Two orthogonal basis of polynomials with respect to a same inner product have the same roots

polynomials roots orthogonal-polynomials